101627314327 has 48 divisors (see below), whose sum is σ = 134698861440. Its totient is φ = 75743035200.

The previous prime is 101627314297. The next prime is 101627314331. The reversal of 101627314327 is 723413726101.

It is not a de Polignac number, because 101627314327 - 2¹⁵ = 101627281559 is a prime.

It is a super-2 number, since 2×101627314327² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101627314387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1133452 + ... + 1219822.

It is an arithmetic number, because the mean of its divisors is an integer number (2806226280).

Almost surely, 2^101627314327 is an apocalyptic number.

101627314327 is a deficient number, since it is larger than the sum of its proper divisors (33071547113).

101627314327 is a wasteful number, since it uses less digits than its factorization.

101627314327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86492 (or 86485 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The spelling of 101627314327 in words is "one hundred one billion, six hundred twenty-seven million, three hundred fourteen thousand, three hundred twenty-seven".