320101132101012 has 108 divisors (see below), whose sum is σ = 837674469662940. Its totient is φ = 103058795930112.

The previous prime is 320101132101007. The next prime is 320101132101017. The reversal of 320101132101012 is 210101231101023.

320101132101012 is a `hidden beast` number, since 320 + 1 + 0 + 1 + 1 + 321 + 0 + 10 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (320101132101007) and next prime (320101132101017).

It can be written as a sum of positive squares in 6 ways, for example, as 112324302035856 + 207776830065156 = 10598316^2 + 14414466^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320101132101017) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16952587 + ... + 30456402.

Almost surely, 2^{320101132101012} is an apocalyptic number.

It is an amenable number.

320101132101012 is an abundant number, since it is smaller than the sum of its proper divisors (517573337561928).

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

320101132101012 is a wasteful number, since it uses less digits than its factorization.

320101132101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47409210 (or 47409168 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 320101132101012 its reverse (210101231101023), we get a palindrome (530202363202035).

The spelling of 320101132101012 in words is "three hundred twenty trillion, one hundred one billion, one hundred thirty-two million, one hundred one thousand, twelve".