3111132102000 has 640 divisors, whose sum is σ = 10993084397568. Its totient is φ = 752338944000.

The previous prime is 3111132101989. The next prime is 3111132102073. The reversal of 3111132102000 is 2012311113.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1866305167 + ... + 1866306833.

Almost surely, 2^{3111132102000} is an apocalyptic number.

3111132102000 is a gapful number since it is divisible by the number (30) 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 3111132102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496542198784).

3111132102000 is an abundant number, since it is smaller than the sum of its proper divisors (7881952295568).

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

3111132102000 is a wasteful number, since it uses less digits than its factorization.

3111132102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 3111132102000 its reverse (2012311113), we get a palindrome (3113144413113).

The spelling of 3111132102000 in words is "three trillion, one hundred eleven billion, one hundred thirty-two million, one hundred two thousand".