10133501040 has 360 divisors, whose sum is σ = 38692836000. Its totient is φ = 2362328064.

The previous prime is 10133501033. The next prime is 10133501041. The reversal of 10133501040 is 4010533101.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133501041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3377461 + ... + 3380459.

It is an arithmetic number, because the mean of its divisors is an integer number (107480100).

Almost surely, 2^10133501040 is an apocalyptic number.

10133501040 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 10133501040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19346418000).

10133501040 is an abundant number, since it is smaller than the sum of its proper divisors (28559334960).

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

10133501040 is a wasteful number, since it uses less digits than its factorization.

10133501040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

It can be divided in two parts, 1013 and 3501040, that added together give a palindrome (3502053).

The spelling of 10133501040 in words is "ten billion, one hundred thirty-three million, five hundred one thousand, forty".