10131113114040 has 64 divisors (see below), whose sum is σ = 30569023447200. Its totient is φ = 2686013798912.

The previous prime is 10131113113967. The next prime is 10131113114041. The reversal of 10131113114040 is 4041131113101.

It is a junction number, because it is equal to n+sod(n) for n = 10131113113998 and 10131113114016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131113114041) 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, 243984855 + ... + 244026374.

Almost surely, 2^{10131113114040} is an apocalyptic number.

10131113114040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131113114040 is an abundant number, since it is smaller than the sum of its proper divisors (20437910333160).

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

10131113114040 is a wasteful number, since it uses less digits than its factorization.

10131113114040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488011416 (or 488011412 counting only the distinct ones).

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

Adding to 10131113114040 its reverse (4041131113101), we get a palindrome (14172244227141).

The spelling of 10131113114040 in words is "ten trillion, one hundred thirty-one billion, one hundred thirteen million, one hundred fourteen thousand, forty".