101311213311 has 24 divisors (see below), whose sum is σ = 182447900544. Its totient is φ = 52629201360.

The previous prime is 101311213309. The next prime is 101311213313. The reversal of 101311213311 is 113312113101.

101311213311 is a `hidden beast` number, since 1 + 0 + 1 + 311 + 21 + 331 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (101311213309) and next prime (101311213313).

It is not a de Polignac number, because 101311213311 - 2¹ = 101311213309 is a prime.

It is a super-3 number, since 3×101311213311³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101311213313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73095421 + ... + 73096806.

It is an arithmetic number, because the mean of its divisors is an integer number (7601995856).

Almost surely, 2^101311213311 is an apocalyptic number.

101311213311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101311213311 is a deficient number, since it is larger than the sum of its proper divisors (81136687233).

101311213311 is a wasteful number, since it uses less digits than its factorization.

101311213311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146192251 (or 146192248 counting only the distinct ones).

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

Adding to 101311213311 its reverse (113312113101), we get a palindrome (214623326412).

The spelling of 101311213311 in words is "one hundred one billion, three hundred eleven million, two hundred thirteen thousand, three hundred eleven".