1003872331813 has 8 divisors (see below), whose sum is σ = 1081109576288. Its totient is φ = 926637415344.

The previous prime is 1003872331799. The next prime is 1003872331841. The reversal of 1003872331813 is 3181332783001.

1003872331813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1003872331813 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003872331213) 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, 371470 + ... + 1464832.

It is an arithmetic number, because the mean of its divisors is an integer number (135138697036).

Almost surely, 2^{1003872331813} is an apocalyptic number.

1003872331813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1003872331813 is a deficient number, since it is larger than the sum of its proper divisors (77237244475).

1003872331813 is a wasteful number, since it uses less digits than its factorization.

1003872331813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164003.

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 1003872331813 in words is "one trillion, three billion, eight hundred seventy-two million, three hundred thirty-one thousand, eight hundred thirteen".