10131314213020 has 192 divisors, whose sum is σ = 28586070567936. Its totient is φ = 2912861214720.

The previous prime is 10131314212897. The next prime is 10131314213021. The reversal of 10131314213020 is 2031241313101.

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 = 10131314212982 and 10131314213000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131314213021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28512087 + ... + 28865233.

It is an arithmetic number, because the mean of its divisors is an integer number (148885784208).

Almost surely, 2^{10131314213020} is an apocalyptic number.

10131314213020 is a gapful number since it is divisible by the number (10) 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 10131314213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14293035283968).

10131314213020 is an abundant number, since it is smaller than the sum of its proper divisors (18454756354916).

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

10131314213020 is a wasteful number, since it uses less digits than its factorization.

10131314213020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354620 (or 354618 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10131314213020 its reverse (2031241313101), we get a palindrome (12162555526121).

The spelling of 10131314213020 in words is "ten trillion, one hundred thirty-one billion, three hundred fourteen million, two hundred thirteen thousand, twenty".