100131513321440 has 48 divisors (see below), whose sum is σ = 236873198130912. Its totient is φ = 39999695629824.

The previous prime is 100131513321403. The next prime is 100131513321457. The reversal of 100131513321440 is 44123315131001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 413235524 + ... + 413477763.

It is an arithmetic number, because the mean of its divisors is an integer number (4934858294394).

Almost surely, 2^{100131513321440} is an apocalyptic number.

100131513321440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100131513321440 is an abundant number, since it is smaller than the sum of its proper divisors (136741684809472).

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

100131513321440 is an equidigital number, since it uses as much as digits as its factorization.

100131513321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826714059 (or 826714051 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 100131513321440 its reverse (44123315131001), we get a palindrome (144254828452441).

The spelling of 100131513321440 in words is "one hundred trillion, one hundred thirty-one billion, five hundred thirteen million, three hundred twenty-one thousand, four hundred forty".