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1031020212113 is a prime number
BaseRepresentation
bin11110000000011011001…
…01111110111110010001
310122120020120102110202222
433000031211332332101
5113343012133241423
62105351045150425
7134326433130143
oct17001545767621
93576216373688
101031020212113
11368287038431
1214799a6bb415
13762bcb26938
1437c8a180c93
151bc44c153c8
hexf00d97ef91

1031020212113 has 2 divisors, whose sum is σ = 1031020212114. Its totient is φ = 1031020212112.

The previous prime is 1031020212037. The next prime is 1031020212121. The reversal of 1031020212113 is 3112120201301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 615829423504 + 415190788609 = 784748^2 + 644353^2 .

It is an emirp because it is prime and its reverse (3112120201301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1031020212113 - 238 = 756142305169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1031020212091 and 1031020212100.

It is not a weakly prime, because it can be changed into another prime (1031020212133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515510106056 + 515510106057.

It is an arithmetic number, because the mean of its divisors is an integer number (515510106057).

Almost surely, 21031020212113 is an apocalyptic number.

It is an amenable number.

1031020212113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031020212113 is an equidigital number, since it uses as much as digits as its factorization.

1031020212113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1031020212113 its reverse (3112120201301), we get a palindrome (4143140413414).

The spelling of 1031020212113 in words is "one trillion, thirty-one billion, twenty million, two hundred twelve thousand, one hundred thirteen".