10311011040 has 192 divisors, whose sum is σ = 35528855040. Its totient is φ = 2492835840.

The previous prime is 10311010999. The next prime is 10311011047. The reversal of 10311011040 is 4011011301.

It is a super-3 number, since 3×10311011040³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10311011047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2093701 + ... + 2098619.

It is an arithmetic number, because the mean of its divisors is an integer number (185046120).

Almost surely, 2^10311011040 is an apocalyptic number.

10311011040 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 10311011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17764427520).

10311011040 is an abundant number, since it is smaller than the sum of its proper divisors (25217844000).

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

10311011040 is a wasteful number, since it uses less digits than its factorization.

10311011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5345 (or 5337 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10311011040 its reverse (4011011301), we get a palindrome (14322022341).

The spelling of 10311011040 in words is "ten billion, three hundred eleven million, eleven thousand, forty".