2120113111431 has 48 divisors (see below), whose sum is σ = 3379392506880. Its totient is φ = 1177989341760.

The previous prime is 2120113111427. The next prime is 2120113111477. The reversal of 2120113111431 is 1341113110212.

It is a happy number.

It is not a de Polignac number, because 2120113111431 - 2² = 2120113111427 is a prime.

It is a super-2 number, since 2×2120113111431² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2120113111398 and 2120113111407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120113111231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8354386 + ... + 8604416.

It is an arithmetic number, because the mean of its divisors is an integer number (70404010560).

Almost surely, 2^{2120113111431} is an apocalyptic number.

2120113111431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2120113111431 is a deficient number, since it is larger than the sum of its proper divisors (1259279395449).

2120113111431 is a wasteful number, since it uses less digits than its factorization.

2120113111431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251644 (or 251637 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 2120113111431 its reverse (1341113110212), we get a palindrome (3461226221643).

The spelling of 2120113111431 in words is "two trillion, one hundred twenty billion, one hundred thirteen million, one hundred eleven thousand, four hundred thirty-one".