131125503510 has 128 divisors (see below), whose sum is σ = 375903590400. Its totient is φ = 32421565440.

The previous prime is 131125503503. The next prime is 131125503611. The reversal of 131125503510 is 15305521131.

131125503510 is a `hidden beast` number, since 1 + 31 + 125 + 503 + 5 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30811 + ... + 513030.

It is an arithmetic number, because the mean of its divisors is an integer number (2936746800).

Almost surely, 2^131125503510 is an apocalyptic number.

131125503510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131125503510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187951795200).

131125503510 is an abundant number, since it is smaller than the sum of its proper divisors (244778086890).

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

131125503510 is a wasteful number, since it uses less digits than its factorization.

131125503510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543923 (or 543917 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 131125503510 in words is "one hundred thirty-one billion, one hundred twenty-five million, five hundred three thousand, five hundred ten".