10131112301310 has 896 divisors, whose sum is σ = 38870162924544. Its totient is φ = 1828900270080.

The previous prime is 10131112301279. The next prime is 10131112301329. The reversal of 10131112301310 is 1310321113101.

10131112301310 is a `hidden beast` number, since 1 + 0 + 1 + 311 + 12 + 30 + 1 + 310 = 666.

It is a super-2 number, since 2×10131112301310² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 124013097 + ... + 124094763.

It is an arithmetic number, because the mean of its divisors is an integer number (43381878264).

Almost surely, 2^{10131112301310} is an apocalyptic number.

10131112301310 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 10131112301310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19435081462272).

10131112301310 is an abundant number, since it is smaller than the sum of its proper divisors (28739050623234).

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

10131112301310 is a wasteful number, since it uses less digits than its factorization.

10131112301310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81740 (or 81725 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10131112301310 its reverse (1310321113101), we get a palindrome (11441433414411).

The spelling of 10131112301310 in words is "ten trillion, one hundred thirty-one billion, one hundred twelve million, three hundred one thousand, three hundred ten".