131414151040 has 64 divisors (see below), whose sum is σ = 314209062000. Its totient is φ = 52557778944.

The previous prime is 131414151023. The next prime is 131414151047. The reversal of 131414151040 is 40151414131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 131414150996 and 131414151014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131414151047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6241651 + ... + 6262669.

Almost surely, 2^131414151040 is an apocalyptic number.

131414151040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131414151040 is an abundant number, since it is smaller than the sum of its proper divisors (182794910960).

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

131414151040 is an equidigital number, since it uses as much as digits as its factorization.

131414151040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30807 (or 30795 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 131414151040 its reverse (40151414131), we get a palindrome (171565565171).

The spelling of 131414151040 in words is "one hundred thirty-one billion, four hundred fourteen million, one hundred fifty-one thousand, forty".