1013413401 has 144 divisors (see below), whose sum is σ = 2096565120. Its totient is φ = 456468480.

The previous prime is 1013413399. The next prime is 1013413403. The reversal of 1013413401 is 1043143101.

It is an interprime number because it is at equal distance from previous prime (1013413399) and next prime (1013413403).

It is not a de Polignac number, because 1013413401 - 2¹ = 1013413399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1013413403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1990735 + ... + 1991243.

It is an arithmetic number, because the mean of its divisors is an integer number (14559480).

Almost surely, 2^1013413401 is an apocalyptic number.

1013413401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013413401 is an abundant number, since it is smaller than the sum of its proper divisors (1083151719).

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

1013413401 is a wasteful number, since it uses less digits than its factorization.

1013413401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1013413401 is about 31834.1546298940. The cubic root of 1013413401 is about 1004.4512902822.

Adding to 1013413401 its reverse (1043143101), we get a palindrome (2056556502).

It can be divided in two parts, 1013 and 413401, that added together give a palindrome (414414).

The spelling of 1013413401 in words is "one billion, thirteen million, four hundred thirteen thousand, four hundred one".