6311136130000 has 100 divisors (see below), whose sum is σ = 16455268306708. Its totient is φ = 2330265600000.

The previous prime is 6311136129889. The next prime is 6311136130001. The reversal of 6311136130000 is 316311136.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 4784211296656 + 1526924833344 = 2187284^2 + 1235688^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6311136130001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24143601 + ... + 24403600.

Almost surely, 2^{6311136130000} is an apocalyptic number.

It is an amenable number.

6311136130000 is an abundant number, since it is smaller than the sum of its proper divisors (10144132176708).

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

6311136130000 is a wasteful number, since it uses less digits than its factorization.

6311136130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48547242 (or 48547221 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The spelling of 6311136130000 in words is "six trillion, three hundred eleven billion, one hundred thirty-six million, one hundred thirty thousand".