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1311021023213 = 115318112424031
BaseRepresentation
bin10011000100111110111…
…100010011111111101101
311122022222022100102220002
4103010332330103333231
5132434432340220323
62442135202234045
7163501215554366
oct23047674237755
94568868312802
101311021023213
1146600120a040
12192102355925
13968234a2b55
144764d16cb6d
1524181768828
hex1313ef13fed

1311021023213 has 16 divisors (see below), whose sum is σ = 1465240637952. Its totient is φ = 1162889208000.

The previous prime is 1311021023209. The next prime is 1311021023233. The reversal of 1311021023213 is 3123201201131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1311021023213 - 22 = 1311021023209 is a prime.

It is a super-2 number, since 2×13110210232132 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311021023233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6106493 + ... + 6317538.

It is an arithmetic number, because the mean of its divisors is an integer number (91577539872).

Almost surely, 21311021023213 is an apocalyptic number.

It is an amenable number.

1311021023213 is a deficient number, since it is larger than the sum of its proper divisors (154219614739).

1311021023213 is a wasteful number, since it uses less digits than its factorization.

1311021023213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12424276.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1311021023213 its reverse (3123201201131), we get a palindrome (4434222224344).

The spelling of 1311021023213 in words is "one trillion, three hundred eleven billion, twenty-one million, twenty-three thousand, two hundred thirteen".

Divisors: 1 11 53 181 583 1991 9593 105523 12424031 136664341 658473643 2248749611 7243210073 24736245721 119183729383 1311021023213