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101031112213 is a prime number
BaseRepresentation
bin101111000010111101…
…1000110111000010101
3100122210000212021021221
41132011323012320111
53123402431042323
6114225115210341
710204434166363
oct1360573067025
9318700767257
10101031112213
1139935479a59
12176b71469b1
1396b1320c05
144c65d8a633
152964a1455d
hex1785ec6e15

101031112213 has 2 divisors, whose sum is σ = 101031112214. Its totient is φ = 101031112212.

The previous prime is 101031112199. The next prime is 101031112223. The reversal of 101031112213 is 312211130101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100807520004 + 223592209 = 317502^2 + 14953^2 .

It is a cyclic number.

It is not a de Polignac number, because 101031112213 - 213 = 101031104021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101031112223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50515556106 + 50515556107.

It is an arithmetic number, because the mean of its divisors is an integer number (50515556107).

Almost surely, 2101031112213 is an apocalyptic number.

It is an amenable number.

101031112213 is a deficient number, since it is larger than the sum of its proper divisors (1).

101031112213 is an equidigital number, since it uses as much as digits as its factorization.

101031112213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101031112213 its reverse (312211130101), we get a palindrome (413242242314).

The spelling of 101031112213 in words is "one hundred one billion, thirty-one million, one hundred twelve thousand, two hundred thirteen".