10131554034 has 192 divisors, whose sum is σ = 28061429760. Its totient is φ = 2674788480.

The previous prime is 10131553969. The next prime is 10131554071. The reversal of 10131554034 is 43045513101.

It is a happy number.

10131554034 is a `hidden beast` number, since 101 + 3 + 1 + 554 + 0 + 3 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10131553989 and 10131554007.

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, 2648247 + ... + 2652069.

It is an arithmetic number, because the mean of its divisors is an integer number (146153280).

Almost surely, 2^10131554034 is an apocalyptic number.

10131554034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131554034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14030714880).

10131554034 is an abundant number, since it is smaller than the sum of its proper divisors (17929875726).

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

10131554034 is a wasteful number, since it uses less digits than its factorization.

10131554034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 10131554034 in words is "ten billion, one hundred thirty-one million, five hundred fifty-four thousand, thirty-four".