114511313311020 has 120 divisors (see below), whose sum is σ = 360495583099344. Its totient is φ = 30428447796864.

The previous prime is 114511313311001. The next prime is 114511313311103. The reversal of 114511313311020 is 20113313115411.

It is a happy number.

114511313311020 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 11 + 313 + 311 + 0 + 20 = 666.

It is a super-2 number, since 2×114511313311020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 124428459 + ... + 125345378.

Almost surely, 2^{114511313311020} is an apocalyptic number.

114511313311020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114511313311020 is an abundant number, since it is smaller than the sum of its proper divisors (245984269788324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114511313311020 is a wasteful number, since it uses less digits than its factorization.

114511313311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249774141 (or 249774130 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 114511313311020 its reverse (20113313115411), we get a palindrome (134624626426431).

The spelling of 114511313311020 in words is "one hundred fourteen trillion, five hundred eleven billion, three hundred thirteen million, three hundred eleven thousand, twenty".