313011122201007 has 16 divisors (see below), whose sum is σ = 420579071227392. Its totient is φ = 207058968567360.

The previous prime is 313011122200957. The next prime is 313011122201027. The reversal of 313011122201007 is 700102221110313.

It is not a de Polignac number, because 313011122201007 - 2¹⁶ = 313011122135471 is a prime.

It is a super-2 number, since 2×313011122201007² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313011122201027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38981623 + ... + 46320504.

It is an arithmetic number, because the mean of its divisors is an integer number (26286191951712).

Almost surely, 2^{313011122201007} is an apocalyptic number.

313011122201007 is a deficient number, since it is larger than the sum of its proper divisors (107567949026385).

313011122201007 is a wasteful number, since it uses less digits than its factorization.

313011122201007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85311598.

The product of its (nonzero) digits is 504, while the sum is 24.

The spelling of 313011122201007 in words is "three hundred thirteen trillion, eleven billion, one hundred twenty-two million, two hundred one thousand, seven".