131033201033100 has 144 divisors (see below), whose sum is σ = 399132816364800. Its totient is φ = 33098457726720.

The previous prime is 131033201033069. The next prime is 131033201033101. The reversal of 131033201033100 is 1330102330131.

It is a super-2 number, since 2×131033201033100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131033201033101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38904457 + ... + 42138143.

It is an arithmetic number, because the mean of its divisors is an integer number (2771755669200).

Almost surely, 2^{131033201033100} is an apocalyptic number.

131033201033100 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 131033201033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199566408182400).

131033201033100 is an abundant number, since it is smaller than the sum of its proper divisors (268099615331700).

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

131033201033100 is a wasteful number, since it uses less digits than its factorization.

131033201033100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240832 (or 3240825 counting only the distinct ones).

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

Adding to 131033201033100 its reverse (1330102330131), we get a palindrome (132363303363231).

The spelling of 131033201033100 in words is "one hundred thirty-one trillion, thirty-three billion, two hundred one million, thirty-three thousand, one hundred".