1301213321010 has 96 divisors (see below), whose sum is σ = 3415896198000. Its totient is φ = 343635291648.

The previous prime is 1301213320997. The next prime is 1301213321021. The reversal of 1301213321010 is 101233121031.

1301213321010 is a `hidden beast` number, since 1 + 301 + 21 + 332 + 1 + 0 + 10 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 897095016801 + 404118304209 = 947151^2 + 635703^2 .

It is a super-2 number, since 2×1301213321010² (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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20264836 + ... + 20328944.

Almost surely, 2^{1301213321010} is an apocalyptic number.

1301213321010 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 1301213321010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1707948099000).

1301213321010 is an abundant number, since it is smaller than the sum of its proper divisors (2114682876990).

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

1301213321010 is a wasteful number, since it uses less digits than its factorization.

1301213321010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66300 (or 66297 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1301213321010 its reverse (101233121031), we get a palindrome (1402446442041).

The spelling of 1301213321010 in words is "one trillion, three hundred one billion, two hundred thirteen million, three hundred twenty-one thousand, ten".