331102101040000 has 160 divisors (see below), whose sum is σ = 825213266475840. Its totient is φ = 132287347200000.

The previous prime is 331102101039967. The next prime is 331102101040091. The reversal of 331102101040000 is 40101201133.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66642100 + ... + 71437900.

It is an arithmetic number, because the mean of its divisors is an integer number (5157582915474).

Almost surely, 2^{331102101040000} 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 331102101040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412606633237920).

331102101040000 is an abundant number, since it is smaller than the sum of its proper divisors (494111165435840).

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

331102101040000 is an frugal number, since it uses more digits than its factorization.

331102101040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4796698 (or 4796671 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 331102101040000 its reverse (40101201133), we get a palindrome (331142202241133).

The spelling of 331102101040000 in words is "three hundred thirty-one trillion, one hundred two billion, one hundred one million, forty thousand".