131010134101440 has 224 divisors, whose sum is σ = 453847552104960. Its totient is φ = 31754707046400.

The previous prime is 131010134101433. The next prime is 131010134101453. The reversal of 131010134101440 is 44101431010131.

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 131010134101440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62122221 + ... + 64196499.

Almost surely, 2^{131010134101440} is an apocalyptic number.

131010134101440 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 131010134101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226923776052480).

131010134101440 is an abundant number, since it is smaller than the sum of its proper divisors (322837418003520).

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

131010134101440 is a wasteful number, since it uses less digits than its factorization.

131010134101440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080291 (or 2080281 counting only the distinct ones).

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

Adding to 131010134101440 its reverse (44101431010131), we get a palindrome (175111565111571).

The spelling of 131010134101440 in words is "one hundred thirty-one trillion, ten billion, one hundred thirty-four million, one hundred one thousand, four hundred forty".