1306201253310 has 96 divisors (see below), whose sum is σ = 3422791427328. Its totient is φ = 345594055680.

The previous prime is 1306201253303. The next prime is 1306201253323. The reversal of 1306201253310 is 133521026031.

1306201253310 is a `hidden beast` number, since 1 + 3 + 0 + 620 + 1 + 2 + 5 + 3 + 31 + 0 = 666.

It is a super-2 number, since 2×1306201253310² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 6960979 + ... + 7146161.

It is an arithmetic number, because the mean of its divisors is an integer number (35654077368).

Almost surely, 2^{1306201253310} is an apocalyptic number.

1306201253310 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 1306201253310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1711395713664).

1306201253310 is an abundant number, since it is smaller than the sum of its proper divisors (2116590174018).

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

1306201253310 is a wasteful number, since it uses less digits than its factorization.

1306201253310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185810 (or 185807 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 1306201253310 its reverse (133521026031), we get a palindrome (1439722279341).

The spelling of 1306201253310 in words is "one trillion, three hundred six billion, two hundred one million, two hundred fifty-three thousand, three hundred ten".