131211413268852 has 192 divisors, whose sum is σ = 354037300936704. Its totient is φ = 37046872281600.

The previous prime is 131211413268829. The next prime is 131211413268863. The reversal of 131211413268852 is 258862314112131.

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, 10708507158 + ... + 10708519410.

It is an arithmetic number, because the mean of its divisors is an integer number (1843944275712).

Almost surely, 2^{131211413268852} is an apocalyptic number.

131211413268852 is a gapful number since it is divisible by the number (12) 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 131211413268852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177018650468352).

131211413268852 is an abundant number, since it is smaller than the sum of its proper divisors (222825887667852).

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

131211413268852 is a wasteful number, since it uses less digits than its factorization.

131211413268852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14678 (or 14676 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The spelling of 131211413268852 in words is "one hundred thirty-one trillion, two hundred eleven billion, four hundred thirteen million, two hundred sixty-eight thousand, eight hundred fifty-two".