10401103313140 has 48 divisors (see below), whose sum is σ = 23004992207232. Its totient is φ = 3942360473216.

The previous prime is 10401103313113. The next prime is 10401103313143. The reversal of 10401103313140 is 4131330110401.

10401103313140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10401103313140² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10401103313143) 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, 105610099 + ... + 105708538.

It is an arithmetic number, because the mean of its divisors is an integer number (479270670984).

Almost surely, 2^{10401103313140} is an apocalyptic number.

10401103313140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10401103313140 is an abundant number, since it is smaller than the sum of its proper divisors (12603888894092).

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

10401103313140 is a wasteful number, since it uses less digits than its factorization.

10401103313140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211318776 (or 211318774 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10401103313140 its reverse (4131330110401), we get a palindrome (14532433423541).

The spelling of 10401103313140 in words is "ten trillion, four hundred one billion, one hundred three million, three hundred thirteen thousand, one hundred forty".