102233311321131 has 48 divisors (see below), whose sum is σ = 157022117091840. Its totient is φ = 63915451280640.

The previous prime is 102233311321123. The next prime is 102233311321139. The reversal of 102233311321131 is 131123113332201.

102233311321131 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 3 + 331 + 1 + 321 + 1 + 3 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (102233311321123) and next prime (102233311321139).

It is not a de Polignac number, because 102233311321131 - 2³ = 102233311321123 is a prime.

It is a super-2 number, since 2×102233311321131² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102233311321095 and 102233311321104.

It is not an unprimeable number, because it can be changed into a prime (102233311321139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 545095 + ... + 14309568.

It is an arithmetic number, because the mean of its divisors is an integer number (3271294106080).

Almost surely, 2^{102233311321131} is an apocalyptic number.

102233311321131 is a deficient number, since it is larger than the sum of its proper divisors (54788805770709).

102233311321131 is a wasteful number, since it uses less digits than its factorization.

102233311321131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14855096 (or 14855093 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 102233311321131 its reverse (131123113332201), we get a palindrome (233356424653332).

The spelling of 102233311321131 in words is "one hundred two trillion, two hundred thirty-three billion, three hundred eleven million, three hundred twenty-one thousand, one hundred thirty-one".