10133031040 has 128 divisors (see below), whose sum is σ = 26690005440. Its totient is φ = 3648000000.

The previous prime is 10133031001. The next prime is 10133031049. The reversal of 10133031040 is 4013033101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10133031049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703915 + ... + 718165.

Almost surely, 2^10133031040 is an apocalyptic number.

10133031040 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 10133031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13345002720).

10133031040 is an abundant number, since it is smaller than the sum of its proper divisors (16556974400).

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

10133031040 is a wasteful number, since it uses less digits than its factorization.

10133031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14382 (or 14370 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10133031040 its reverse (4013033101), we get a palindrome (14146064141).

The spelling of 10133031040 in words is "ten billion, one hundred thirty-three million, thirty-one thousand, forty".