10345025131110 has 64 divisors (see below), whose sum is σ = 27598672488960. Its totient is φ = 2757479487840.

The previous prime is 10345025131079. The next prime is 10345025131121. The reversal of 10345025131110 is 1113152054301.

10345025131110 is a `hidden beast` number, since 1 + 0 + 34 + 5 + 0 + 2 + 513 + 1 + 110 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7665712 + ... + 8913651.

It is an arithmetic number, because the mean of its divisors is an integer number (431229257640).

Almost surely, 2^{10345025131110} is an apocalyptic number.

10345025131110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10345025131110 is an abundant number, since it is smaller than the sum of its proper divisors (17253647357850).

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

10345025131110 is a wasteful number, since it uses less digits than its factorization.

10345025131110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16581690 (or 16581684 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 10345025131110 its reverse (1113152054301), we get a palindrome (11458177185411).

The spelling of 10345025131110 in words is "ten trillion, three hundred forty-five billion, twenty-five million, one hundred thirty-one thousand, one hundred ten".