2013414420431 has 8 divisors (see below), whose sum is σ = 2071374125184. Its totient is φ = 1955876241280.

The previous prime is 2013414420389. The next prime is 2013414420449. The reversal of 2013414420431 is 1340244143102.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2013414420431 is a prime.

It is a super-2 number, since 2×2013414420431² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013414420394 and 2013414420403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013414426431) 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, 105371711 + ... + 105390816.

It is an arithmetic number, because the mean of its divisors is an integer number (258921765648).

Almost surely, 2^{2013414420431} is an apocalyptic number.

2013414420431 is a deficient number, since it is larger than the sum of its proper divisors (57959704753).

2013414420431 is a wasteful number, since it uses less digits than its factorization.

2013414420431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210762801.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 2013414420431 its reverse (1340244143102), we get a palindrome (3353658563533).

The spelling of 2013414420431 in words is "two trillion, thirteen billion, four hundred fourteen million, four hundred twenty thousand, four hundred thirty-one".