10011401133140 has 72 divisors (see below), whose sum is σ = 23204850617256. Its totient is φ = 3625403443200.

The previous prime is 10011401133137. The next prime is 10011401133157. The reversal of 10011401133140 is 4133110411001.

It can be written as a sum of positive squares in 4 ways, for example, as 3449422136644 + 6561978996496 = 1857262^2 + 2561636^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7999649 + ... + 9166088.

Almost surely, 2^{10011401133140} is an apocalyptic number.

10011401133140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011401133140 is an abundant number, since it is smaller than the sum of its proper divisors (13193449484116).

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

10011401133140 is a wasteful number, since it uses less digits than its factorization.

10011401133140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17166009 (or 17165996 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10011401133140 its reverse (4133110411001), we get a palindrome (14144511544141).

The spelling of 10011401133140 in words is "ten trillion, eleven billion, four hundred one million, one hundred thirty-three thousand, one hundred forty".