101001000313011 has 16 divisors (see below), whose sum is σ = 134843511234816. Its totient is φ = 67246246477536.

The previous prime is 101001000313009. The next prime is 101001000313033. The reversal of 101001000313011 is 110313000100101.

It is not a de Polignac number, because 101001000313011 - 2¹ = 101001000313009 is a prime.

It is a super-2 number, since 2×101001000313011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101001000313051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448017826 + ... + 448243208.

It is an arithmetic number, because the mean of its divisors is an integer number (8427719452176).

Almost surely, 2^{101001000313011} is an apocalyptic number.

101001000313011 is a deficient number, since it is larger than the sum of its proper divisors (33842510921805).

101001000313011 is a wasteful number, since it uses less digits than its factorization.

101001000313011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419402.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 101001000313011 its reverse (110313000100101), we get a palindrome (211314000413112).

The spelling of 101001000313011 in words is "one hundred one trillion, one billion, three hundred thirteen thousand, eleven".