2311413000 has 384 divisors, whose sum is σ = 8057387520. Its totient is φ = 551116800.

The previous prime is 2311412959. The next prime is 2311413029. The reversal of 2311413000 is 3141132.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23828952 + ... + 23829048.

It is an arithmetic number, because the mean of its divisors is an integer number (20982780).

Almost surely, 2^2311413000 is an apocalyptic number.

2311413000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2311413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028693760).

2311413000 is an abundant number, since it is smaller than the sum of its proper divisors (5745974520).

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

2311413000 is a wasteful number, since it uses less digits than its factorization.

2311413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2311413000 is about 48077.1567378937. The cubic root of 2311413000 is about 1322.1858869515.

Adding to 2311413000 its reverse (3141132), we get a palindrome (2314554132).

The spelling of 2311413000 in words is "two billion, three hundred eleven million, four hundred thirteen thousand".