103214311130340 has 144 divisors (see below), whose sum is σ = 313326149101056. Its totient is φ = 27502480915200.

The previous prime is 103214311130297. The next prime is 103214311130431. The reversal of 103214311130340 is 43031113412301.

103214311130340 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 1 + 4 + 311 + 1 + 3 + 0 + 340 = 666.

It is a super-4 number, since 4×103214311130340⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3365193205 + ... + 3365223875.

It is an arithmetic number, because the mean of its divisors is an integer number (2175876035424).

Almost surely, 2^{103214311130340} is an apocalyptic number.

103214311130340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103214311130340 is an abundant number, since it is smaller than the sum of its proper divisors (210111837970716).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103214311130340 is a wasteful number, since it uses less digits than its factorization.

103214311130340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44570 (or 44565 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 103214311130340 its reverse (43031113412301), we get a palindrome (146245424542641).

The spelling of 103214311130340 in words is "one hundred three trillion, two hundred fourteen billion, three hundred eleven million, one hundred thirty thousand, three hundred forty".