131213021033040 has 320 divisors, whose sum is σ = 421488922982400. Its totient is φ = 33732027187200.

The previous prime is 131213021033027. The next prime is 131213021033063. The reversal of 131213021033040 is 40330120312131.

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

It is a self number, because there is not a number n which added to its sum of digits gives 131213021033040.

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, 2341347420 + ... + 2341403460.

It is an arithmetic number, because the mean of its divisors is an integer number (1317152884320).

Almost surely, 2^{131213021033040} is an apocalyptic number.

131213021033040 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 131213021033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210744461491200).

131213021033040 is an abundant number, since it is smaller than the sum of its proper divisors (290275901949360).

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

131213021033040 is a wasteful number, since it uses less digits than its factorization.

131213021033040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57286 (or 57280 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 131213021033040 its reverse (40330120312131), we get a palindrome (171543141345171).

The spelling of 131213021033040 in words is "one hundred thirty-one trillion, two hundred thirteen billion, twenty-one million, thirty-three thousand, forty".