102301133131032 has 64 divisors (see below), whose sum is σ = 280325380037760. Its totient is φ = 30853422297600.

The previous prime is 102301133130929. The next prime is 102301133131033. The reversal of 102301133131032 is 230131331103201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 102301133130993 and 102301133131011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102301133131033) 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, 918200913 + ... + 918312320.

It is an arithmetic number, because the mean of its divisors is an integer number (4380084063090).

Almost surely, 2^{102301133131032} is an apocalyptic number.

102301133131032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102301133131032 is an abundant number, since it is smaller than the sum of its proper divisors (178024246906728).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102301133131032 is a wasteful number, since it uses less digits than its factorization.

102301133131032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836513464 (or 1836513460 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 102301133131032 its reverse (230131331103201), we get a palindrome (332432464234233).

The spelling of 102301133131032 in words is "one hundred two trillion, three hundred one billion, one hundred thirty-three million, one hundred thirty-one thousand, thirty-two".