1301013311100 has 72 divisors (see below), whose sum is σ = 3793905174528. Its totient is φ = 344205086400.

The previous prime is 1301013311083. The next prime is 1301013311119. The reversal of 1301013311100 is 11133101031.

It is a super-3 number, since 3×1301013311100³ (a number of 37 digits) contains 333 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 1301013311100.

It is a congruent number.

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, 17035566 + ... + 17111765.

It is an arithmetic number, because the mean of its divisors is an integer number (52693127424).

Almost surely, 2^{1301013311100} is an apocalyptic number.

1301013311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301013311100 is an abundant number, since it is smaller than the sum of its proper divisors (2492891863428).

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

1301013311100 is a wasteful number, since it uses less digits than its factorization.

1301013311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34147475 (or 34147468 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 1301013311100 its reverse (11133101031), we get a palindrome (1312146412131).

The spelling of 1301013311100 in words is "one trillion, three hundred one billion, thirteen million, three hundred eleven thousand, one hundred".