10133121040 has 320 divisors, whose sum is σ = 30238064640. Its totient is φ = 3077775360.

The previous prime is 10133121029. The next prime is 10133121041. The reversal of 10133121040 is 4012133101.

It is a super-2 number, since 2×10133121040² (a number of 21 digits) contains 22 as substring.

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 (10133121041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11501400 + ... + 11502280.

It is an arithmetic number, because the mean of its divisors is an integer number (94493952).

Almost surely, 2^10133121040 is an apocalyptic number.

10133121040 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 10133121040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15119032320).

10133121040 is an abundant number, since it is smaller than the sum of its proper divisors (20104943600).

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

10133121040 is a wasteful number, since it uses less digits than its factorization.

10133121040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10133121040 its reverse (4012133101), we get a palindrome (14145254141).

The spelling of 10133121040 in words is "ten billion, one hundred thirty-three million, one hundred twenty-one thousand, forty".