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1331313111310 = 257133643401587
BaseRepresentation
bin10011010111111000011…
…100011111000100001110
311201021100111111022200111
4103113320130133010032
5133303012124030220
62455332524150234
7165120115506160
oct23277034370416
94637314438614
101331313111310
114736745a9186
1219602609837a
1398708538280
1448616168930
152496ce7e15a
hex135f871f10e

1331313111310 has 64 divisors (see below), whose sum is σ = 2950187530752. Its totient is φ = 421221949056.

The previous prime is 1331313111307. The next prime is 1331313111311. The reversal of 1331313111310 is 131113131331.

It is a super-2 number, since 2×13313131113102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331313111311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3114337 + ... + 3515923.

It is an arithmetic number, because the mean of its divisors is an integer number (46096680168).

Almost surely, 21331313111310 is an apocalyptic number.

1331313111310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1331313111310 is an abundant number, since it is smaller than the sum of its proper divisors (1618874419442).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1331313111310 is a wasteful number, since it uses less digits than its factorization.

1331313111310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405257.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 1331313111310 its reverse (131113131331), we get a palindrome (1462426242641).

The spelling of 1331313111310 in words is "one trillion, three hundred thirty-one billion, three hundred thirteen million, one hundred eleven thousand, three hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 3643 7286 18215 25501 36430 47359 51002 94718 127505 236795 255010 331513 401587 473590 663026 803174 1657565 2007935 2811109 3315130 4015870 5220631 5622218 10441262 14055545 26103155 28111090 36544417 52206310 73088834 182722085 365444170 1462981441 2925962882 7314907205 10240870087 14629814410 19018758733 20481740174 38037517466 51204350435 95093793665 102408700870 133131311131 190187587330 266262622262 665656555655 1331313111310