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1020020123137 is a prime number
BaseRepresentation
bin11101101011111011110…
…11111110011000000001
310121111211221211001111011
432311331323332120001
5113203000122420022
62100331335120521
7133460022663661
oct16657573763001
93544757731434
101020020123137
11363651849804
1214582a813141
1375258b9a952
143752528a1a1
151b7ee159977
hexed7defe601

1020020123137 has 2 divisors, whose sum is σ = 1020020123138. Its totient is φ = 1020020123136.

The previous prime is 1020020123081. The next prime is 1020020123147. The reversal of 1020020123137 is 7313210200201.

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., 711524303361 + 308495819776 = 843519^2 + 555424^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1020020123137 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020020123147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510010061568 + 510010061569.

It is an arithmetic number, because the mean of its divisors is an integer number (510010061569).

Almost surely, 21020020123137 is an apocalyptic number.

It is an amenable number.

1020020123137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020020123137 is an equidigital number, since it uses as much as digits as its factorization.

1020020123137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 1020020123137 its reverse (7313210200201), we get a palindrome (8333230323338).

The spelling of 1020020123137 in words is "one trillion, twenty billion, twenty million, one hundred twenty-three thousand, one hundred thirty-seven".