1300013213310 has 128 divisors (see below), whose sum is σ = 3969271526400. Its totient is φ = 296596391040.

The previous prime is 1300013213299. The next prime is 1300013213321. The reversal of 1300013213310 is 133123100031.

It is a happy number.

1300013213310 is a `hidden beast` number, since 1 + 30 + 0 + 0 + 1 + 321 + 3 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (1300013213299) and next prime (1300013213321).

It is a super-2 number, since 2×1300013213310² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 386781 + ... + 1658199.

It is an arithmetic number, because the mean of its divisors is an integer number (31009933800).

Almost surely, 2^{1300013213310} is an apocalyptic number.

1300013213310 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 1300013213310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984635763200).

1300013213310 is an abundant number, since it is smaller than the sum of its proper divisors (2669258313090).

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

1300013213310 is a wasteful number, since it uses less digits than its factorization.

1300013213310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271983 (or 1271977 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1300013213310 its reverse (133123100031), we get a palindrome (1433136313341).

The spelling of 1300013213310 in words is "one trillion, three hundred billion, thirteen million, two hundred thirteen thousand, three hundred ten".