102132113331 has 16 divisors (see below), whose sum is σ = 140613693440. Its totient is φ = 65870703360.

The previous prime is 102132113329. The next prime is 102132113333. The reversal of 102132113331 is 133311231201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102132113329) and next prime (102132113333).

It is not a de Polignac number, because 102132113331 - 2¹ = 102132113329 is a prime.

It is a super-2 number, since 2×102132113331² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102132113298 and 102132113307.

It is not an unprimeable number, because it can be changed into a prime (102132113333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121446 + ... + 467988.

It is an arithmetic number, because the mean of its divisors is an integer number (8788355840).

Almost surely, 2^102132113331 is an apocalyptic number.

102132113331 is a deficient number, since it is larger than the sum of its proper divisors (38481580109).

102132113331 is a wasteful number, since it uses less digits than its factorization.

102132113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349746.

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

Adding to 102132113331 its reverse (133311231201), we get a palindrome (235443344532).

The spelling of 102132113331 in words is "one hundred two billion, one hundred thirty-two million, one hundred thirteen thousand, three hundred thirty-one".