1304413010010 has 144 divisors (see below), whose sum is σ = 3778886645352. Its totient is φ = 311889346560.

The previous prime is 1304413010009. The next prime is 1304413010027. The reversal of 1304413010010 is 100103144031.

It can be written as a sum of positive squares in 4 ways, for example, as 970258490289 + 334154519721 = 985017^2 + 578061^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25447 + ... + 1615386.

Almost surely, 2^{1304413010010} is an apocalyptic number.

1304413010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304413010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889443322676).

1304413010010 is an abundant number, since it is smaller than the sum of its proper divisors (2474473635342).

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

1304413010010 is a wasteful number, since it uses less digits than its factorization.

1304413010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640941 (or 1640927 counting only the distinct ones).

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

Adding to 1304413010010 its reverse (100103144031), we get a palindrome (1404516154041).

The spelling of 1304413010010 in words is "one trillion, three hundred four billion, four hundred thirteen million, ten thousand, ten".