103011331311213 has 32 divisors (see below), whose sum is σ = 148573768170240. Its totient is φ = 63108757670400.

The previous prime is 103011331311209. The next prime is 103011331311241. The reversal of 103011331311213 is 312113133110301.

It is not a de Polignac number, because 103011331311213 - 2² = 103011331311209 is a prime.

It is a super-2 number, since 2×103011331311213² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103011331311253) 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, 94133520 + ... + 95221542.

It is an arithmetic number, because the mean of its divisors is an integer number (4642930255320).

Almost surely, 2^{103011331311213} is an apocalyptic number.

103011331311213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103011331311213 is a deficient number, since it is larger than the sum of its proper divisors (45562436859027).

103011331311213 is a wasteful number, since it uses less digits than its factorization.

103011331311213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098869.

The product of its (nonzero) digits is 486, while the sum is 24.

Adding to 103011331311213 its reverse (312113133110301), we get a palindrome (415124464421514).

The spelling of 103011331311213 in words is "one hundred three trillion, eleven billion, three hundred thirty-one million, three hundred eleven thousand, two hundred thirteen".