102213013203031 has 2 divisors, whose sum is σ = 102213013203032. Its totient is φ = 102213013203030.

The previous prime is 102213013203029. The next prime is 102213013203071. The reversal of 102213013203031 is 130302310312201.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 102213013203031 - 2¹ = 102213013203029 is a prime.

It is a super-2 number, since 2×102213013203031² (a number of 29 digits) contains 22 as substring.

Together with 102213013203029, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 102213013202993 and 102213013203011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102213013203001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51106506601515 + 51106506601516.

It is an arithmetic number, because the mean of its divisors is an integer number (51106506601516).

Almost surely, 2^{102213013203031} is an apocalyptic number.

102213013203031 is a deficient number, since it is larger than the sum of its proper divisors (1).

102213013203031 is an equidigital number, since it uses as much as digits as its factorization.

102213013203031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 102213013203031 its reverse (130302310312201), we get a palindrome (232515323515232).

The spelling of 102213013203031 in words is "one hundred two trillion, two hundred thirteen billion, thirteen million, two hundred three thousand, thirty-one".