102131033301 has 32 divisors (see below), whose sum is σ = 170752003200. Its totient is φ = 59763191040.

The previous prime is 102131033273. The next prime is 102131033351. The reversal of 102131033301 is 103330131201.

It is a happy number.

102131033301 is a `hidden beast` number, since 1 + 0 + 21 + 310 + 3 + 330 + 1 = 666.

It is not a de Polignac number, because 102131033301 - 2⁵ = 102131033269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102131033351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5920276 + ... + 5937501.

It is an arithmetic number, because the mean of its divisors is an integer number (5336000100).

Almost surely, 2^102131033301 is an apocalyptic number.

102131033301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102131033301 is a deficient number, since it is larger than the sum of its proper divisors (68620969899).

102131033301 is a wasteful number, since it uses less digits than its factorization.

102131033301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11857826 (or 11857820 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 102131033301 its reverse (103330131201), we get a palindrome (205461164502).

The spelling of 102131033301 in words is "one hundred two billion, one hundred thirty-one million, thirty-three thousand, three hundred one".