31102505102020 has 384 divisors, whose sum is σ = 75730152960000. Its totient is φ = 10629897062400.

The previous prime is 31102505101981. The next prime is 31102505102051. The reversal of 31102505102020 is 2020150520113.

It is a super-3 number, since 3×31102505102020³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 31102505101982 and 31102505102000.

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, 5760787281 + ... + 5760792679.

It is an arithmetic number, because the mean of its divisors is an integer number (197213940000).

Almost surely, 2^{31102505102020} 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 31102505102020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37865076480000).

31102505102020 is an abundant number, since it is smaller than the sum of its proper divisors (44627647857980).

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

31102505102020 is a wasteful number, since it uses less digits than its factorization.

31102505102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5739 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 31102505102020 its reverse (2020150520113), we get a palindrome (33122655622133).

The spelling of 31102505102020 in words is "thirty-one trillion, one hundred two billion, five hundred five million, one hundred two thousand, twenty".