1313433152400 has 120 divisors (see below), whose sum is σ = 4235602118400. Its totient is φ = 347898129920.

The previous prime is 1313433152399. The next prime is 1313433152443. The reversal of 1313433152400 is 42513343131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3494112 + ... + 3851711.

It is an arithmetic number, because the mean of its divisors is an integer number (35296684320).

Almost surely, 2^{1313433152400} is an apocalyptic number.

1313433152400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313433152400 is an abundant number, since it is smaller than the sum of its proper divisors (2922168966000).

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

1313433152400 is a wasteful number, since it uses less digits than its factorization.

1313433152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7345993 (or 7345982 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 1313433152400 its reverse (42513343131), we get a palindrome (1355946495531).

The spelling of 1313433152400 in words is "one trillion, three hundred thirteen billion, four hundred thirty-three million, one hundred fifty-two thousand, four hundred".