131332133031000 has 256 divisors, whose sum is σ = 447032247667200. Its totient is φ = 31836282048000.

The previous prime is 131332133030999. The next prime is 131332133031059. The reversal of 131332133031000 is 130331233131.

It is a super-2 number, since 2×131332133031000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 633925431 + ... + 634132569.

It is an arithmetic number, because the mean of its divisors is an integer number (1746219717450).

Almost surely, 2^{131332133031000} is an apocalyptic number.

131332133031000 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 131332133031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223516123833600).

131332133031000 is an abundant number, since it is smaller than the sum of its proper divisors (315700114636200).

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

131332133031000 is a wasteful number, since it uses less digits than its factorization.

131332133031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226387 (or 226373 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 131332133031000 its reverse (130331233131), we get a palindrome (131462464264131).

The spelling of 131332133031000 in words is "one hundred thirty-one trillion, three hundred thirty-two billion, one hundred thirty-three million, thirty-one thousand".