131407103520 has 720 divisors, whose sum is σ = 582620157504. Its totient is φ = 27303091200.

The previous prime is 131407103519. The next prime is 131407103549. The reversal of 131407103520 is 25301704131.

131407103520 is a `hidden beast` number, since 1 + 31 + 4 + 0 + 7 + 103 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×131407103520³ (a number of 34 digits) contains 333 as substring.

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 119 ways as a sum of consecutive naturals, for example, 10971135 + ... + 10983105.

Almost surely, 2^131407103520 is an apocalyptic number.

131407103520 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 131407103520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291310078752).

131407103520 is an abundant number, since it is smaller than the sum of its proper divisors (451213053984).

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

131407103520 is a wasteful number, since it uses less digits than its factorization.

131407103520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12027 (or 11999 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 131407103520 its reverse (25301704131), we get a palindrome (156708807651).

The spelling of 131407103520 in words is "one hundred thirty-one billion, four hundred seven million, one hundred three thousand, five hundred twenty".