1305101255130 has 96 divisors (see below), whose sum is σ = 3477711863808. Its totient is φ = 339373843200.

The previous prime is 1305101255111. The next prime is 1305101255177. The reversal of 1305101255130 is 315521015031.

1305101255130 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 101 + 2 + 551 + 3 + 0 = 666.

It is a super-2 number, since 2×1305101255130² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1305101255094 and 1305101255103.

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, 7616295 + ... + 7785765.

It is an arithmetic number, because the mean of its divisors is an integer number (36226165248).

Almost surely, 2^{1305101255130} is an apocalyptic number.

1305101255130 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 1305101255130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738855931904).

1305101255130 is an abundant number, since it is smaller than the sum of its proper divisors (2172610608678).

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

1305101255130 is a wasteful number, since it uses less digits than its factorization.

1305101255130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171612 (or 171609 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 1305101255130 in words is "one trillion, three hundred five billion, one hundred one million, two hundred fifty-five thousand, one hundred thirty".