10531031111040 has 256 divisors, whose sum is σ = 36622586246400. Its totient is φ = 2552745861120.

The previous prime is 10531031111017. The next prime is 10531031111071. The reversal of 10531031111040 is 4011113013501.

It is a super-2 number, since 2×10531031111040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10531031110998 and 10531031111016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404202654 + ... + 404228706.

It is an arithmetic number, because the mean of its divisors is an integer number (143056977525).

Almost surely, 2^{10531031111040} is an apocalyptic number.

10531031111040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10531031111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18311293123200).

10531031111040 is an abundant number, since it is smaller than the sum of its proper divisors (26091555135360).

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

10531031111040 is a wasteful number, since it uses less digits than its factorization.

10531031111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45225 (or 45213 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 10531031111040 its reverse (4011113013501), we get a palindrome (14542144124541).

The spelling of 10531031111040 in words is "ten trillion, five hundred thirty-one billion, thirty-one million, one hundred eleven thousand, forty".