132031313013000 has 256 divisors, whose sum is σ = 431276714668800. Its totient is φ = 33584697753600.

The previous prime is 132031313012941. The next prime is 132031313013043. The reversal of 132031313013000 is 310313130231.

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, 1921177 + ... + 16363176.

It is an arithmetic number, because the mean of its divisors is an integer number (1684674666675).

Almost surely, 2^{132031313013000} is an apocalyptic number.

132031313013000 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 132031313013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215638357334400).

132031313013000 is an abundant number, since it is smaller than the sum of its proper divisors (299245401655800).

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

132031313013000 is a wasteful number, since it uses less digits than its factorization.

132031313013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18284489 (or 18284475 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 132031313013000 its reverse (310313130231), we get a palindrome (132341626143231).

The spelling of 132031313013000 in words is "one hundred thirty-two trillion, thirty-one billion, three hundred thirteen million, thirteen thousand".