31101101323020 has 144 divisors (see below), whose sum is σ = 95027130132480. Its totient is φ = 8233397558400.

The previous prime is 31101101323013. The next prime is 31101101323051. The reversal of 31101101323020 is 2032310110113.

31101101323020 is a `hidden beast` number, since 311 + 0 + 1 + 10 + 1 + 323 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31101101322984 and 31101101323002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15959371 + ... + 17801789.

It is an arithmetic number, because the mean of its divisors is an integer number (659910625920).

Almost surely, 2^{31101101323020} is an apocalyptic number.

31101101323020 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 31101101323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47513565066240).

31101101323020 is an abundant number, since it is smaller than the sum of its proper divisors (63926028809460).

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

31101101323020 is a wasteful number, since it uses less digits than its factorization.

31101101323020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843116 (or 1843111 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31101101323020 its reverse (2032310110113), we get a palindrome (33133411433133).

The spelling of 31101101323020 in words is "thirty-one trillion, one hundred one billion, one hundred one million, three hundred twenty-three thousand, twenty".