1032401013 has 32 divisors (see below), whose sum is σ = 1615810560. Its totient is φ = 574102080.

The previous prime is 1032401011. The next prime is 1032401089. The reversal of 1032401013 is 3101042301.

1032401013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1032401013 - 2¹ = 1032401011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1032400983 and 1032401001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032401011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175758 + ... + 181536.

It is an arithmetic number, because the mean of its divisors is an integer number (50494080).

Almost surely, 2^1032401013 is an apocalyptic number.

It is an amenable number.

1032401013 is a deficient number, since it is larger than the sum of its proper divisors (583409547).

1032401013 is a wasteful number, since it uses less digits than its factorization.

1032401013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6017.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1032401013 is about 32130.9976969281. The cubic root of 1032401013 is about 1010.6857457858.

Adding to 1032401013 its reverse (3101042301), we get a palindrome (4133443314).

The spelling of 1032401013 in words is "one billion, thirty-two million, four hundred one thousand, thirteen".