102020133002031 has 24 divisors (see below), whose sum is σ = 148339668232704. Its totient is φ = 67562389904400.

The previous prime is 102020133002009. The next prime is 102020133002071. The reversal of 102020133002031 is 130200331020201.

102020133002031 is a `hidden beast` number, since 102 + 0 + 201 + 330 + 0 + 2 + 0 + 31 = 666.

It is not a de Polignac number, because 102020133002031 - 2²⁹ = 102019596131119 is a prime.

It is a super-2 number, since 2×102020133002031² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102020133001995 and 102020133002013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020133002071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188150550 + ... + 188691996.

It is an arithmetic number, because the mean of its divisors is an integer number (6180819509696).

Almost surely, 2^{102020133002031} is an apocalyptic number.

102020133002031 is a deficient number, since it is larger than the sum of its proper divisors (46319535230673).

102020133002031 is a wasteful number, since it uses less digits than its factorization.

102020133002031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680251 (or 680248 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102020133002031 its reverse (130200331020201), we get a palindrome (232220464022232).

The spelling of 102020133002031 in words is "one hundred two trillion, twenty billion, one hundred thirty-three million, two thousand, thirty-one".