1013011012311 has 64 divisors (see below), whose sum is σ = 1490227200000. Its totient is φ = 609246506880.

The previous prime is 1013011012301. The next prime is 1013011012369. The reversal of 1013011012311 is 1132101103101.

It is not a de Polignac number, because 1013011012311 - 2²² = 1013006818007 is a prime.

It is a super-2 number, since 2×1013011012311² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013011012301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 301579450 + ... + 301582808.

It is an arithmetic number, because the mean of its divisors is an integer number (23284800000).

Almost surely, 2^{1013011012311} is an apocalyptic number.

1013011012311 is a deficient number, since it is larger than the sum of its proper divisors (477216187689).

1013011012311 is a wasteful number, since it uses less digits than its factorization.

1013011012311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4364.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1013011012311 its reverse (1132101103101), we get a palindrome (2145112115412).

The spelling of 1013011012311 in words is "one trillion, thirteen billion, eleven million, twelve thousand, three hundred eleven".