101312011110310 has 256 divisors, whose sum is σ = 247188653752320. Its totient is φ = 28870313725440.

The previous prime is 101312011110293. The next prime is 101312011110341. The reversal of 101312011110310 is 13011110213101.

It is a super-2 number, since 2×101312011110310² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 9261536821 + ... + 9261547759.

It is an arithmetic number, because the mean of its divisors is an integer number (965580678720).

Almost surely, 2^{101312011110310} is an apocalyptic number.

101312011110310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101312011110310 is an abundant number, since it is smaller than the sum of its proper divisors (145876642642010).

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

101312011110310 is a wasteful number, since it uses less digits than its factorization.

101312011110310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19731.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 101312011110310 its reverse (13011110213101), we get a palindrome (114323121323411).

The spelling of 101312011110310 in words is "one hundred one trillion, three hundred twelve billion, eleven million, one hundred ten thousand, three hundred ten".