131113214000000 has 448 divisors, whose sum is σ = 346328279441280. Its totient is φ = 49271193600000.

The previous prime is 131113213999973. The next prime is 131113214000039. The reversal of 131113214000000 is 412311131.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20637996824 + ... + 20638003176.

Almost surely, 2^{131113214000000} is an apocalyptic number.

131113214000000 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 131113214000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173164139720640).

131113214000000 is an abundant number, since it is smaller than the sum of its proper divisors (215215065441280).

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

131113214000000 is an frugal number, since it uses more digits than its factorization.

131113214000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7021 (or 6984 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 131113214000000 its reverse (412311131), we get a palindrome (131113626311131).

The spelling of 131113214000000 in words is "one hundred thirty-one trillion, one hundred thirteen billion, two hundred fourteen million", and thus it is an aban number.