2101013013311 has 8 divisors (see below), whose sum is σ = 2224636966944. Its totient is φ = 1977392943360.

The previous prime is 2101013013259. The next prime is 2101013013331. The reversal of 2101013013311 is 1133103101012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101013013311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2101013013311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101013013331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182006 + ... + 2057948.

It is an arithmetic number, because the mean of its divisors is an integer number (278079620868).

Almost surely, 2^{2101013013311} is an apocalyptic number.

2101013013311 is a deficient number, since it is larger than the sum of its proper divisors (123623953633).

2101013013311 is a wasteful number, since it uses less digits than its factorization.

2101013013311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1941841.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 2101013013311 its reverse (1133103101012), we get a palindrome (3234116114323).

The spelling of 2101013013311 in words is "two trillion, one hundred one billion, thirteen million, thirteen thousand, three hundred eleven".