1010456400331 has 8 divisors (see below), whose sum is σ = 1163236566240. Its totient is φ = 859783547328.

The previous prime is 1010456400319. The next prime is 1010456400341. The reversal of 1010456400331 is 1330046540101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1010456400331 - 2²⁵ = 1010422845899 is a prime.

It is a super-2 number, since 2×1010456400331² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1010456400331.

It is not an unprimeable number, because it can be changed into a prime (1010456400341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 526827196 + ... + 526829113.

It is an arithmetic number, because the mean of its divisors is an integer number (145404570780).

Almost surely, 2^{1010456400331} is an apocalyptic number.

1010456400331 is a deficient number, since it is larger than the sum of its proper divisors (152780165909).

1010456400331 is a wasteful number, since it uses less digits than its factorization.

1010456400331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053656453.

The product of its (nonzero) digits is 4320, while the sum is 28.

The spelling of 1010456400331 in words is "one trillion, ten billion, four hundred fifty-six million, four hundred thousand, three hundred thirty-one".