1301133101130 has 96 divisors (see below), whose sum is σ = 3483312066000. Its totient is φ = 336723111936.

The previous prime is 1301133101129. The next prime is 1301133101173. The reversal of 1301133101130 is 311013311031.

1301133101130 is a `hidden beast` number, since 1 + 301 + 1 + 331 + 0 + 1 + 1 + 30 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 875686079961 + 425447021169 = 935781^2 + 652263^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 793146 + ... + 1797594.

Almost surely, 2^{1301133101130} is an apocalyptic number.

1301133101130 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 1301133101130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741656033000).

1301133101130 is an abundant number, since it is smaller than the sum of its proper divisors (2182178964870).

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

1301133101130 is a wasteful number, since it uses less digits than its factorization.

1301133101130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004888 (or 1004885 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1301133101130 its reverse (311013311031), we get a palindrome (1612146412161).

The spelling of 1301133101130 in words is "one trillion, three hundred one billion, one hundred thirty-three million, one hundred one thousand, one hundred thirty".