131213100121440 has 384 divisors, whose sum is σ = 429262126110720. Its totient is φ = 33650293555200.

The previous prime is 131213100121429. The next prime is 131213100121457. The reversal of 131213100121440 is 44121001312131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131213100121440.

It is a congruent number.

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, 13795926285 + ... + 13795935795.

It is an arithmetic number, because the mean of its divisors is an integer number (1117870120080).

Almost surely, 2^{131213100121440} is an apocalyptic number.

131213100121440 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 131213100121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214631063055360).

131213100121440 is an abundant number, since it is smaller than the sum of its proper divisors (298049025989280).

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

131213100121440 is a wasteful number, since it uses less digits than its factorization.

131213100121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13366 (or 13358 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131213100121440 its reverse (44121001312131), we get a palindrome (175334101433571).

The spelling of 131213100121440 in words is "one hundred thirty-one trillion, two hundred thirteen billion, one hundred million, one hundred twenty-one thousand, four hundred forty".