102311002211331 has 16 divisors (see below), whose sum is σ = 136607276344320. Its totient is φ = 68111046024000.

The previous prime is 102311002211309. The next prime is 102311002211339. The reversal of 102311002211331 is 133112200113201.

It is not a de Polignac number, because 102311002211331 - 2²⁷ = 102310867993603 is a prime.

It is a super-2 number, since 2×102311002211331² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102311002211298 and 102311002211307.

It is not an unprimeable number, because it can be changed into a prime (102311002211339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26353255 + ... + 29985263.

It is an arithmetic number, because the mean of its divisors is an integer number (8537954771520).

Almost surely, 2^{102311002211331} is an apocalyptic number.

102311002211331 is a deficient number, since it is larger than the sum of its proper divisors (34296274132989).

102311002211331 is a wasteful number, since it uses less digits than its factorization.

102311002211331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645266.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 102311002211331 its reverse (133112200113201), we get a palindrome (235423202324532).

The spelling of 102311002211331 in words is "one hundred two trillion, three hundred eleven billion, two million, two hundred eleven thousand, three hundred thirty-one".