1013113311001 has 6 divisors (see below), whose sum is σ = 1113587358506. Its totient is φ = 921012100800.

The previous prime is 1013113310959. The next prime is 1013113311013. The reversal of 1013113311001 is 1001133113101.

1013113311001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 776027093776 + 237086217225 = 880924^2 + 486915^2 .

It is a de Polignac number, because none of the positive numbers 2^k-1013113311001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013113311071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4186418520 + ... + 4186418761.

Almost surely, 2^{1013113311001} is an apocalyptic number.

1013113311001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013113311001 is a deficient number, since it is larger than the sum of its proper divisors (100474047505).

1013113311001 is an equidigital number, since it uses as much as digits as its factorization.

1013113311001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8372837303 (or 8372837292 counting only the distinct ones).

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

Adding to 1013113311001 its reverse (1001133113101), we get a palindrome (2014246424102).

The spelling of 1013113311001 in words is "one trillion, thirteen billion, one hundred thirteen million, three hundred eleven thousand, one".