10313201213010 has 96 divisors (see below), whose sum is σ = 27101281624560. Its totient is φ = 2720831731200.

The previous prime is 10313201213009. The next prime is 10313201213039. The reversal of 10313201213010 is 1031210231301.

10313201213010 is a `hidden beast` number, since 1 + 0 + 31 + 320 + 12 + 1 + 301 + 0 = 666.

10313201213010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5012095590441 + 5301105622569 = 2238771^2 + 2302413^2 .

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

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, 5689180 + ... + 7279640.

Almost surely, 2^{10313201213010} is an apocalyptic number.

10313201213010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10313201213010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13550640812280).

10313201213010 is an abundant number, since it is smaller than the sum of its proper divisors (16788080411550).

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

10313201213010 is a wasteful number, since it uses less digits than its factorization.

10313201213010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591244 (or 1591241 counting only the distinct ones).

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

Adding to 10313201213010 its reverse (1031210231301), we get a palindrome (11344411444311).

The spelling of 10313201213010 in words is "ten trillion, three hundred thirteen billion, two hundred one million, two hundred thirteen thousand, ten".