131036210928 has 240 divisors, whose sum is σ = 434590041600. Its totient is φ = 36062046720.

The previous prime is 131036210923. The next prime is 131036210951. The reversal of 131036210928 is 829012630131.

131036210928 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 3 + 621 + 0 + 9 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131036210892 and 131036210901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131036210923) 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, 12827743 + ... + 12837953.

It is an arithmetic number, because the mean of its divisors is an integer number (1810791840).

Almost surely, 2^131036210928 is an apocalyptic number.

131036210928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131036210928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217295020800).

131036210928 is an abundant number, since it is smaller than the sum of its proper divisors (303553830672).

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

131036210928 is a wasteful number, since it uses less digits than its factorization.

131036210928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10700 (or 10691 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 131036210928 in words is "one hundred thirty-one billion, thirty-six million, two hundred ten thousand, nine hundred twenty-eight".