4130101313300 has 72 divisors (see below), whose sum is σ = 9020913796440. Its totient is φ = 1641258201600.

The previous prime is 4130101313281. The next prime is 4130101313323. The reversal of 4130101313300 is 33131010314.

It can be written as a sum of positive squares in 12 ways, for example, as 2130303717136 + 1999797596164 = 1459556^2 + 1414142^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 17931266 + ... + 18160134.

It is an arithmetic number, because the mean of its divisors is an integer number (125290469395).

Almost surely, 2^{4130101313300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130101313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4510456898220).

4130101313300 is an abundant number, since it is smaller than the sum of its proper divisors (4890812483140).

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

4130101313300 is a wasteful number, since it uses less digits than its factorization.

4130101313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230061 (or 230054 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 4130101313300 its reverse (33131010314), we get a palindrome (4163232323614).

The spelling of 4130101313300 in words is "four trillion, one hundred thirty billion, one hundred one million, three hundred thirteen thousand, three hundred".