2130220101311 has 16 divisors (see below), whose sum is σ = 2284270387200. Its totient is φ = 1979367781248.

The previous prime is 2130220101301. The next prime is 2130220101313. The reversal of 2130220101311 is 1131010220312.

It is a cyclic number.

It is not a de Polignac number, because 2130220101311 - 2²² = 2130215907007 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 2130220101311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130220101313) 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, 17644610 + ... + 17764928.

It is an arithmetic number, because the mean of its divisors is an integer number (142766899200).

Almost surely, 2^{2130220101311} is an apocalyptic number.

2130220101311 is a deficient number, since it is larger than the sum of its proper divisors (154050285889).

2130220101311 is a wasteful number, since it uses less digits than its factorization.

2130220101311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133598.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 2130220101311 its reverse (1131010220312), we get a palindrome (3261230321623).

The spelling of 2130220101311 in words is "two trillion, one hundred thirty billion, two hundred twenty million, one hundred one thousand, three hundred eleven".