10131113114034 has 192 divisors, whose sum is σ = 23796843396480. Its totient is φ = 2864961792000.

The previous prime is 10131113113967. The next prime is 10131113114041. The reversal of 10131113114034 is 43041131113101.

It is a junction number, because it is equal to n+sod(n) for n = 10131113113995 and 10131113114013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274440762 + ... + 274477674.

It is an arithmetic number, because the mean of its divisors is an integer number (123941892690).

Almost surely, 2^{10131113114034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131113114034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11898421698240).

10131113114034 is an abundant number, since it is smaller than the sum of its proper divisors (13665730282446).

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

10131113114034 is a wasteful number, since it uses less digits than its factorization.

10131113114034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37257 (or 37246 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 10131113114034 its reverse (43041131113101), we get a palindrome (53172244227135).

The spelling of 10131113114034 in words is "ten trillion, one hundred thirty-one billion, one hundred thirteen million, one hundred fourteen thousand, thirty-four".