10111330131001 has 16 divisors (see below), whose sum is σ = 11683443507840. Its totient is φ = 8648408321280.

The previous prime is 10111330130983. The next prime is 10111330131031. The reversal of 10111330131001 is 10013103311101.

10111330131001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10111330131001 - 2¹⁹ = 10111329606713 is a prime.

It is a super-3 number, since 3×10111330131001³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10111330131031) 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, 8824746 + ... + 9904483.

It is an arithmetic number, because the mean of its divisors is an integer number (730215219240).

Almost surely, 2^{10111330131001} is an apocalyptic number.

10111330131001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10111330131001 is a deficient number, since it is larger than the sum of its proper divisors (1572113376839).

10111330131001 is a wasteful number, since it uses less digits than its factorization.

10111330131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18732144.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 10111330131001 its reverse (10013103311101), we get a palindrome (20124433442102).

The spelling of 10111330131001 in words is "ten trillion, one hundred eleven billion, three hundred thirty million, one hundred thirty-one thousand, one".