131414204211120 has 320 divisors, whose sum is σ = 456226458209280. Its totient is φ = 34767408384000.

The previous prime is 131414204211083. The next prime is 131414204211161. The reversal of 131414204211120 is 21112402414131.

131414204211120 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 420 + 4 + 211 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 256431940 + ... + 256943900.

It is an arithmetic number, because the mean of its divisors is an integer number (1425707681904).

Almost surely, 2^{131414204211120} is an apocalyptic number.

131414204211120 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 131414204211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228113229104640).

131414204211120 is an abundant number, since it is smaller than the sum of its proper divisors (324812253998160).

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

131414204211120 is a wasteful number, since it uses less digits than its factorization.

131414204211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512921 (or 512909 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 131414204211120 its reverse (21112402414131), we get a palindrome (152526606625251).

The spelling of 131414204211120 in words is "one hundred thirty-one trillion, four hundred fourteen billion, two hundred four million, two hundred eleven thousand, one hundred twenty".