1001113010331 has 16 divisors (see below), whose sum is σ = 1525860693504. Its totient is φ = 571931394624.

The previous prime is 1001113010311. The next prime is 1001113010351. The reversal of 1001113010331 is 1330103111001.

1001113010331 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1001113010311) and next prime (1001113010351).

It is not a de Polignac number, because 1001113010331 - 2⁷ = 1001113010203 is a prime.

It is a super-3 number, since 3×1001113010331³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1001113010331.

It is not an unprimeable number, because it can be changed into a prime (1001113010311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5456895 + ... + 5637368.

It is an arithmetic number, because the mean of its divisors is an integer number (95366293344).

Almost surely, 2^{1001113010331} is an apocalyptic number.

1001113010331 is a deficient number, since it is larger than the sum of its proper divisors (524747683173).

1001113010331 is a wasteful number, since it uses less digits than its factorization.

1001113010331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11098570.

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 1001113010331 its reverse (1330103111001), we get a palindrome (2331216121332).

The spelling of 1001113010331 in words is "one trillion, one billion, one hundred thirteen million, ten thousand, three hundred thirty-one".