131233133310000 has 400 divisors, whose sum is σ = 428218006174464. Its totient is φ = 34619135616000.

The previous prime is 131233133309959. The next prime is 131233133310077. The reversal of 131233133310000 is 13331332131.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×131233133310000² (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1069108629 + ... + 1069231371.

Almost surely, 2^{131233133310000} is an apocalyptic number.

131233133310000 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 131233133310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214109003087232).

131233133310000 is an abundant number, since it is smaller than the sum of its proper divisors (296984872864464).

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

131233133310000 is a wasteful number, since it uses less digits than its factorization.

131233133310000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123158 (or 123137 counting only the distinct ones).

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

Adding to 131233133310000 its reverse (13331332131), we get a palindrome (131246464642131).

The spelling of 131233133310000 in words is "one hundred thirty-one trillion, two hundred thirty-three billion, one hundred thirty-three million, three hundred ten thousand".