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1013312321130 = 235313729448193
BaseRepresentation
bin11101011111011100001…
…11101111011001101010
310120212112110220101222210
432233232013233121222
5113100230423234010
62053301555425550
7133131552420624
oct16575607573152
93525473811883
101013312321130
1136081a42a88a
121444782b52b6
137472a290535
143708a471c14
151b55a30cb20
hexebee1ef66a

1013312321130 has 64 divisors (see below), whose sum is σ = 2578248281088. Its totient is φ = 254432378880.

The previous prime is 1013312321083. The next prime is 1013312321149. The reversal of 1013312321130 is 311232133101.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1013312321097 and 1013312321106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14689687 + ... + 14758506.

It is an arithmetic number, because the mean of its divisors is an integer number (40285129392).

Almost surely, 21013312321130 is an apocalyptic number.

1013312321130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1013312321130 is an abundant number, since it is smaller than the sum of its proper divisors (1564935959958).

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

1013312321130 is a wasteful number, since it uses less digits than its factorization.

1013312321130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29448271.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 1013312321130 its reverse (311232133101), we get a palindrome (1324544454231).

The spelling of 1013312321130 in words is "one trillion, thirteen billion, three hundred twelve million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 37 62 74 93 111 155 185 186 222 310 370 465 555 930 1110 1147 2294 3441 5735 6882 11470 17205 34410 29448193 58896386 88344579 147240965 176689158 294481930 441722895 883445790 912893983 1089583141 1825787966 2179166282 2738681949 3268749423 4564469915 5447915705 5477363898 6537498846 9128939830 10895831410 13693409745 16343747115 27386819490 32687494230 33777077371 67554154742 101331232113 168885386855 202662464226 337770773710 506656160565 1013312321130