214402311014031 has 32 divisors (see below), whose sum is σ = 363069276792320. Its totient is φ = 122495331670272.

The previous prime is 214402311013997. The next prime is 214402311014077. The reversal of 214402311014031 is 130410113204412.

It is a happy number.

214402311014031 is a `hidden beast` number, since 2 + 1 + 4 + 402 + 3 + 110 + 140 + 3 + 1 = 666.

It is not a de Polignac number, because 214402311014031 - 2¹⁴ = 214402310997647 is a prime.

It is a super-2 number, since 2×214402311014031² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 214402311013986 and 214402311014004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214402311016031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92718850 + ... + 95003103.

It is an arithmetic number, because the mean of its divisors is an integer number (11345914899760).

Almost surely, 2^{214402311014031} is an apocalyptic number.

214402311014031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

214402311014031 is a deficient number, since it is larger than the sum of its proper divisors (148666965778289).

214402311014031 is a wasteful number, since it uses less digits than its factorization.

214402311014031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187728012 (or 187728006 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 214402311014031 its reverse (130410113204412), we get a palindrome (344812424218443).

The spelling of 214402311014031 in words is "two hundred fourteen trillion, four hundred two billion, three hundred eleven million, fourteen thousand, thirty-one".