125731331110000 has 800 divisors, whose sum is σ = 383859803543040. Its totient is φ = 39066001920000.

The previous prime is 125731331109977. The next prime is 125731331110003. The reversal of 125731331110000 is 11133137521.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125731331110003) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32329988056 + ... + 32329991944.

Almost surely, 2^{125731331110000} is an apocalyptic number.

125731331110000 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 125731331110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191929901771520).

125731331110000 is an abundant number, since it is smaller than the sum of its proper divisors (258128472433040).

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

125731331110000 is an equidigital number, since it uses as much as digits as its factorization.

125731331110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4304 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

Adding to 125731331110000 its reverse (11133137521), we get a palindrome (125742464247521).

The spelling of 125731331110000 in words is "one hundred twenty-five trillion, seven hundred thirty-one billion, three hundred thirty-one million, one hundred ten thousand".