10401414131013 has 8 divisors (see below), whose sum is σ = 13868644646976. Its totient is φ = 6934229851200.

The previous prime is 10401414131011. The next prime is 10401414131039. The reversal of 10401414131013 is 31013141410401.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10401414131013 - 2¹ = 10401414131011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10401414131011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11030673 + ... + 11936438.

It is an arithmetic number, because the mean of its divisors is an integer number (1733580580872).

Almost surely, 2^{10401414131013} is an apocalyptic number.

It is an amenable number.

10401414131013 is a deficient number, since it is larger than the sum of its proper divisors (3467230515963).

10401414131013 is a wasteful number, since it uses less digits than its factorization.

10401414131013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23118075.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 10401414131013 its reverse (31013141410401), we get a palindrome (41414555541414).

It can be divided in two parts, 10401 and 414131013, that added together give a palindrome (414141414).

The spelling of 10401414131013 in words is "ten trillion, four hundred one billion, four hundred fourteen million, one hundred thirty-one thousand, thirteen".