102001032331113 has 32 divisors (see below), whose sum is σ = 136718928000000. Its totient is φ = 67642895073600.

The previous prime is 102001032331097. The next prime is 102001032331127. The reversal of 102001032331113 is 311133230100201.

It is a happy number.

It is not a de Polignac number, because 102001032331113 - 2⁴ = 102001032331097 is a prime.

It is a super-2 number, since 2×102001032331113² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102001032331113.

It is not an unprimeable number, because it can be changed into a prime (102001032331213) 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, 2632333263 + ... + 2632372011.

It is an arithmetic number, because the mean of its divisors is an integer number (4272466500000).

Almost surely, 2^{102001032331113} is an apocalyptic number.

It is an amenable number.

102001032331113 is a deficient number, since it is larger than the sum of its proper divisors (34717895668887).

102001032331113 is a wasteful number, since it uses less digits than its factorization.

102001032331113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44973.

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

Adding to 102001032331113 its reverse (311133230100201), we get a palindrome (413134262431314).

The spelling of 102001032331113 in words is "one hundred two trillion, one billion, thirty-two million, three hundred thirty-one thousand, one hundred thirteen".