131121761418 has 28 divisors (see below), whose sum is σ = 294889067538. Its totient is φ = 43707253320.

The previous prime is 131121761411. The next prime is 131121761429. The reversal of 131121761418 is 814167121131.

131121761418 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 21 + 7 + 614 + 18 = 666.

It can be written as a sum of positive squares in only one way, i.e., 127811255049 + 3310506369 = 357507^2 + 57537^2 .

It is a super-3 number, since 3×131121761418³ (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131121761411) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 44964853 + ... + 44967768.

Almost surely, 2^131121761418 is an apocalyptic number.

131121761418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

131121761418 is an abundant number, since it is smaller than the sum of its proper divisors (163767306120).

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

131121761418 is an frugal number, since it uses more digits than its factorization.

131121761418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89932641 (or 89932626 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

Adding to 131121761418 its reverse (814167121131), we get a palindrome (945288882549).

The spelling of 131121761418 in words is "one hundred thirty-one billion, one hundred twenty-one million, seven hundred sixty-one thousand, four hundred eighteen".