1013210400 has 144 divisors (see below), whose sum is σ = 3316287744. Its totient is φ = 268692480.

The previous prime is 1013210377. The next prime is 1013210423. The reversal of 1013210400 is 40123101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1013210377) and next prime (1013210423).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471729 + ... + 473871.

It is an arithmetic number, because the mean of its divisors is an integer number (23029776).

Almost surely, 2^1013210400 is an apocalyptic number.

1013210400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1658143872).

1013210400 is an abundant number, since it is smaller than the sum of its proper divisors (2303077344).

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

1013210400 is a wasteful number, since it uses less digits than its factorization.

1013210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2363 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1013210400 is about 31830.9660550854. The cubic root of 1013210400 is about 1004.3842172159.

Adding to 1013210400 its reverse (40123101), we get a palindrome (1053333501).

The spelling of 1013210400 in words is "one billion, thirteen million, two hundred ten thousand, four hundred".