10131141031040 has 64 divisors (see below), whose sum is σ = 24459558777720. Its totient is φ = 4012333056000.

The previous prime is 10131141031013. The next prime is 10131141031043. The reversal of 10131141031040 is 4013014113101.

10131141031040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9667074892864 + 464066138176 = 3109192^2 + 681224^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10131141031043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78301241 + ... + 78430520.

Almost surely, 2^{10131141031040} is an apocalyptic number.

10131141031040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10131141031040 is an abundant number, since it is smaller than the sum of its proper divisors (14328417746680).

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

10131141031040 is a wasteful number, since it uses less digits than its factorization.

10131141031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156731881 (or 156731869 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10131141031040 its reverse (4013014113101), we get a palindrome (14144155144141).

The spelling of 10131141031040 in words is "ten trillion, one hundred thirty-one billion, one hundred forty-one million, thirty-one thousand, forty".