1013633431 has 8 divisors (see below), whose sum is σ = 1017246384. Its totient is φ = 1010027520.

The previous prime is 1013633377. The next prime is 1013633459. The reversal of 1013633431 is 1343363101.

It is a happy number.

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-1013633431 is a prime.

It is a super-4 number, since 4×1013633431⁴ (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1013633396 and 1013633405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013633461) 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 7 ways as a sum of consecutive naturals, for example, 530580 + ... + 532486.

It is an arithmetic number, because the mean of its divisors is an integer number (127155798).

Almost surely, 2^1013633431 is an apocalyptic number.

1013633431 is a deficient number, since it is larger than the sum of its proper divisors (3612953).

1013633431 is a wasteful number, since it uses less digits than its factorization.

1013633431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521.

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 1013633431 is about 31837.6103217562. The cubic root of 1013633431 is about 1004.5239797441.

Adding to 1013633431 its reverse (1343363101), we get a palindrome (2356996532).

The spelling of 1013633431 in words is "one billion, thirteen million, six hundred thirty-three thousand, four hundred thirty-one".