131125093000 has 256 divisors, whose sum is σ = 357827258880. Its totient is φ = 44492800000.

The previous prime is 131125092997. The next prime is 131125093007. The reversal of 131125093000 is 390521131.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (131125093007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10366680 + ... + 10379320.

It is an arithmetic number, because the mean of its divisors is an integer number (1397762730).

Almost surely, 2^131125093000 is an apocalyptic number.

131125093000 is a gapful number since it is divisible by the number (10) 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 131125093000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178913629440).

131125093000 is an abundant number, since it is smaller than the sum of its proper divisors (226702165880).

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

131125093000 is a wasteful number, since it uses less digits than its factorization.

131125093000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12737 (or 12723 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 25.

The spelling of 131125093000 in words is "one hundred thirty-one billion, one hundred twenty-five million, ninety-three thousand".