102133320011031 has 16 divisors (see below), whose sum is σ = 136603597616640. Its totient is φ = 67876175740800.

The previous prime is 102133320010919. The next prime is 102133320011089. The reversal of 102133320011031 is 130110023331201.

It is a happy number.

It is not a de Polignac number, because 102133320011031 - 2⁷ = 102133320010903 is a prime.

It is a super-2 number, since 2×102133320011031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102133320010989 and 102133320011007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133320011131) 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, 24911461 + ... + 28720158.

It is an arithmetic number, because the mean of its divisors is an integer number (8537724851040).

Almost surely, 2^{102133320011031} is an apocalyptic number.

102133320011031 is a deficient number, since it is larger than the sum of its proper divisors (34470277605609).

102133320011031 is a wasteful number, since it uses less digits than its factorization.

102133320011031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53633606.

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

Adding to 102133320011031 its reverse (130110023331201), we get a palindrome (232243343342232).

The spelling of 102133320011031 in words is "one hundred two trillion, one hundred thirty-three billion, three hundred twenty million, eleven thousand, thirty-one".