1013031101001 has 16 divisors (see below), whose sum is σ = 1364605384320. Its totient is φ = 668410579200.

The previous prime is 1013031100997. The next prime is 1013031101021. The reversal of 1013031101001 is 1001011303101.

It is not a de Polignac number, because 1013031101001 - 2² = 1013031100997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1013031101021) 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, 149796 + ... + 1431258.

It is an arithmetic number, because the mean of its divisors is an integer number (85287836520).

Almost surely, 2^{1013031101001} is an apocalyptic number.

It is an amenable number.

1013031101001 is a deficient number, since it is larger than the sum of its proper divisors (351574283319).

1013031101001 is a wasteful number, since it uses less digits than its factorization.

1013031101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284176.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1013031101001 its reverse (1001011303101), we get a palindrome (2014042404102).

The spelling of 1013031101001 in words is "one trillion, thirteen billion, thirty-one million, one hundred one thousand, one".