1313256129472 has 224 divisors, whose sum is σ = 3092609064960. Its totient is φ = 541688463360.

The previous prime is 1313256129403. The next prime is 1313256129517. The reversal of 1313256129472 is 2749216523131.

It is a tau number, because it is divible by the number of its divisors (224).

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, 361677097 + ... + 361680727.

Almost surely, 2^{1313256129472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313256129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546304532480).

1313256129472 is an abundant number, since it is smaller than the sum of its proper divisors (1779352935488).

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

1313256129472 is a wasteful number, since it uses less digits than its factorization.

1313256129472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979 (or 3969 counting only the distinct ones).

The product of its digits is 544320, while the sum is 46.

The spelling of 1313256129472 in words is "one trillion, three hundred thirteen billion, two hundred fifty-six million, one hundred twenty-nine thousand, four hundred seventy-two".