1300213220100 has 72 divisors (see below), whose sum is σ = 3762107834688. Its totient is φ = 346709001600.

The previous prime is 1300213220011. The next prime is 1300213220129. The reversal of 1300213220100 is 10223120031.

It is a super-2 number, since 2×1300213220100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1300213220100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8406465 + ... + 8559735.

It is an arithmetic number, because the mean of its divisors is an integer number (52251497704).

Almost surely, 2^{1300213220100} is an apocalyptic number.

1300213220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300213220100 is an abundant number, since it is smaller than the sum of its proper divisors (2461894614588).

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

1300213220100 is a wasteful number, since it uses less digits than its factorization.

1300213220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181565 (or 181558 counting only the distinct ones).

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

Adding to 1300213220100 its reverse (10223120031), we get a palindrome (1310436340131).

The spelling of 1300213220100 in words is "one trillion, three hundred billion, two hundred thirteen million, two hundred twenty thousand, one hundred".